The trunk of a tree is cylindrical and its circumference is $176\ cm$. If the length of the trunk is $3\ m$. Find the volume of the timber that can be obtained from the trunk.

 Given:

The trunk of a tree is cylindrical and its circumference is $176\ cm$.

The length of the trunk is $3\ m$. 

To do:

We have to find the volume of the timber that can be obtained from the trunk.

Solution:

Circumference of the cylindrical trunk of the tree $= 176\ cm$

This implies,

Radius $=\frac{\text { Circumference }}{2 \pi}$

$=\frac{176 \times 7}{2 \times 22}$

$=28 \mathrm{~cm}$

Length of the trunk $(h)=3 \mathrm{~m}$

Therefore,

Volume of the timber $=\pi r^{2} h$

$=\frac{22}{7} \times \frac{28}{100} \times \frac{28}{100} \times 3$

$=\frac{7392}{10000}$

$=0.7392$

$=0.74 \mathrm{~m}^{3}$

The volume of the timber that can be obtained from the trunk is $0.74 \mathrm{~m}^{3}$.

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Updated on: 10-Oct-2022

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